Masonary Example Calculations - Shear

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    Austral Masonry Sec tion 9, Page 1

    9: SHEARDESIGN OF WALLS SUBJECT TO IN-PLANE SHEAR

    Background

    In most cases, shear walls are subject to a combination of shear and vertical forces. Thecompressive force in load bearing walls increases shear resistance. In external non-loadbearing

    walls, tensile stresses may be present in all or part of the walls. This will have an adverse effect

    on shear resistance and may lead to tensile cracking at wall heels.

    Shear cracks may occur as diagonal steps through bed and header joints in the centre of a

    wall. The slope of the crac k depends on the magnitude and the type of the applied axialforces.

    Shear capacity is usually critical for walls subject to seismic loading. Spec ial attention should be

    given to walls with large openings, to parapets walls and free standing walls. Refer to AS1170.4

    for design requirements of structural and non structural masonry.

    Legend and symbols used in shear design

    Adw = the combined bedded area and the grout area where applicableΦ  = the capacity reduction fac tor for shear (0.6 for unreinforced, 0.75 when reinforced)

     ƒ ’ms  = the characteristic shear strength (refer to Section 3, Table 3.3 of this manual)

     ƒ d  = minimum design compressive stress on the bed joint under consideration (< 2MPa)kv  = Shear factor (refer to Sec tion 3, Table 3.4 of this manual)

    Vd  = design shear force

    Design for Shear using AS3700

    AS3700: C lause 7.5.1 expresses wall shear capacity as the addition of two distinct components;

    shear bond strength and shear friction strength, as follows:

    Vd ≤ Φ ƒ ’ms Adw + kv ƒ d Adw

    At bedding planes containing damp-proof membranes and at junctions with other material,

    the shear bond term decreases. Shear resistance relies on applied compressive stresses. This isof concern for non-load bearing walls under seismic loading, especially where built on damp-

    proof membranes, as they theoretically have no shear resistance.

     The friction term relies on interface material types. Friction fac tor kv = 0.3 for bed mortar and

    decreases to 0.15 for polyethylene and bitumen coated aluminium type membrane. Refer toSection 3: Table 3.4.

    Openings and control joints often require shear connectors and should be carefully accounted

    for in shear design of walls

    Design of Shear ConnectorsShear connectors may be used to transfer shear across mortar joints or to other structural

    elements. Refer to AS3700: Clause 7.5.3 for connector design requirements.

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    Austral Masonry Sec tion 9, Page 2

    Design Example:A shear wall, 5m long and 3m high, constructed on a concrete slab using Alphalite 15-01 hollow

    masonry units is subject to a 20 kN/m dead load and has a racking force of 40kN applied at itstop. Check the capacity of the wall.

    Procedure using AS3700:2001 ƒ ’ms = 1.25 x ƒ ’mt 

    = 1.25 x 0.2

    = 0.25MPa

    Bedded area (Adw) = 2 x 25 x 1000

    = 50000mm²/m length of wall

    kv = 0.3 for bed mortar and for interface with concrete

     ƒ d = 20 x 1000/50000= 0.4MPa

    Vd =Φ  ƒ ’ms Adw + kv ƒ d Adw= 0.6 x 0.25 x 50000/1000 + 0.3 x 0.4 x 50000/1000

    = 7.5 + 6.0= 13.5kN/m

    Wall shear resistance = 5m x 13.5kN/m

    = 67.5kN

    67.5kN > 40kN racking force, so shear design is OK.

    Procedure using chartsFrom c hart 9.1, for vertical compressive force = 20kN/m on a wall 5m long, the load capacity

    equals 67kN, which is more than the rac king load of 40kN, so the design is OK.

    Shear Capacity Charts

    Charts are based on the following assumptions:  Masonry unit dimensions as discussed in Section 2 of this manual.

      Material properties as discussed in Sec tion 3 of this manual.

      Vertical stresses on walls (if applied) are uniform along walls.

      Characteristic shear bond strength = 0.3MPa, assuming wall does not sit on water proofmembrane, and the shear fac tor kv = 0.3 Refer to Table 3.4 of this manual.

      Further checks should be carried out for local crushing and or tensile stresses on wall.

      Refer to AS1170.4 for unreinforced masonry requirements for walls subjec t to seismic loads.

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    Austral Masonry Sec tion 9, Page 3

    Chart List 

    Chart 9-1 Shear Capacity of 10-01, 12-01 or 15-01 Masonry Page 4

    Chart 9-2 Shear Capacity of 10-31 Solid Masonry Page 4

    Chart 9-3 Shear Capacity of Twinbrick Masonry Page 5

    Chart 9-4 Shear Capacity of 15-401 or 20-401 Masonry Page 5

    Chart 9-5 Shear Capacity of 15-42 Core filled Masonry Page 6

    Chart 9-6 Shear Capacity of 15-48 Core filled Masonry Page 6

    Chart 9-7 Shear Capacity of 20-01 Hollow Masonry Page 7

    Chart 9-8 Shear Capacity of 20-42 or 20-48Core filled Masonry Page 7

    Chart 9-9 Shear Capacity of 30-48 Hollow Masonry Page 8

    Chart 9-10 Shear Capacity of 30-48 Core filled Masonry Page 8

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